r-7.5+2(r-7.50)+2(r-7.50)(0.3)+6(r-7.50)-4=

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Solution for r-7.5+2(r-7.50)+2(r-7.50)(0.3)+6(r-7.50)-4= equation: 


Simplifying
r + -7.5 + 2(r + -7.50) + 2(r + -7.50)(0.3) + 6(r + -7.50) + -4 = 0

Reorder the terms:
r + -7.5 + 2(-7.50 + r) + 2(r + -7.50)(0.3) + 6(r + -7.50) + -4 = 0
r + -7.5 + (-7.50 * 2 + r * 2) + 2(r + -7.50)(0.3) + 6(r + -7.50) + -4 = 0
r + -7.5 + (-15 + 2r) + 2(r + -7.50)(0.3) + 6(r + -7.50) + -4 = 0

Reorder the terms:
r + -7.5 + -15 + 2r + 2(-7.50 + r)(0.3) + 6(r + -7.50) + -4 = 0

Reorder the terms for easier multiplication:
r + -7.5 + -15 + 2r + 2 * 0.3(-7.50 + r) + 6(r + -7.50) + -4 = 0

Multiply 2 * 0.3
r + -7.5 + -15 + 2r + 0.6(-7.50 + r) + 6(r + -7.50) + -4 = 0
r + -7.5 + -15 + 2r + (-7.50 * 0.6 + r * 0.6) + 6(r + -7.50) + -4 = 0
r + -7.5 + -15 + 2r + (-4.5 + 0.6r) + 6(r + -7.50) + -4 = 0

Reorder the terms:
r + -7.5 + -15 + 2r + -4.5 + 0.6r + 6(-7.50 + r) + -4 = 0
r + -7.5 + -15 + 2r + -4.5 + 0.6r + (-7.50 * 6 + r * 6) + -4 = 0
r + -7.5 + -15 + 2r + -4.5 + 0.6r + (-45 + 6r) + -4 = 0

Reorder the terms:
-7.5 + -15 + -4.5 + -45 + -4 + r + 2r + 0.6r + 6r = 0

Combine like terms: -7.5 + -15 = -22.5
-22.5 + -4.5 + -45 + -4 + r + 2r + 0.6r + 6r = 0

Combine like terms: -22.5 + -4.5 = -27
-27 + -45 + -4 + r + 2r + 0.6r + 6r = 0

Combine like terms: -27 + -45 = -72
-72 + -4 + r + 2r + 0.6r + 6r = 0

Combine like terms: -72 + -4 = -76
-76 + r + 2r + 0.6r + 6r = 0

Combine like terms: r + 2r = 3r
-76 + 3r + 0.6r + 6r = 0

Combine like terms: 3r + 0.6r = 3.6r
-76 + 3.6r + 6r = 0

Combine like terms: 3.6r + 6r = 9.6r
-76 + 9.6r = 0

Solving
-76 + 9.6r = 0

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '76' to each side of the equation.
-76 + 76 + 9.6r = 0 + 76

Combine like terms: -76 + 76 = 0
0 + 9.6r = 0 + 76
9.6r = 0 + 76

Combine like terms: 0 + 76 = 76
9.6r = 76

Divide each side by '9.6'.
r = 7.916666667

Simplifying
r = 7.916666667

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