-7r-10r=-4(8r-3)+6(r+1)

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Solution for -7r-10r=-4(8r-3)+6(r+1) equation:


Simplifying
-7r + -10r = -4(8r + -3) + 6(r + 1)

Combine like terms: -7r + -10r = -17r
-17r = -4(8r + -3) + 6(r + 1)

Reorder the terms:
-17r = -4(-3 + 8r) + 6(r + 1)
-17r = (-3 * -4 + 8r * -4) + 6(r + 1)
-17r = (12 + -32r) + 6(r + 1)

Reorder the terms:
-17r = 12 + -32r + 6(1 + r)
-17r = 12 + -32r + (1 * 6 + r * 6)
-17r = 12 + -32r + (6 + 6r)

Reorder the terms:
-17r = 12 + 6 + -32r + 6r

Combine like terms: 12 + 6 = 18
-17r = 18 + -32r + 6r

Combine like terms: -32r + 6r = -26r
-17r = 18 + -26r

Solving
-17r = 18 + -26r

Solving for variable 'r'.

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

Add '26r' to each side of the equation.
-17r + 26r = 18 + -26r + 26r

Combine like terms: -17r + 26r = 9r
9r = 18 + -26r + 26r

Combine like terms: -26r + 26r = 0
9r = 18 + 0
9r = 18

Divide each side by '9'.
r = 2

Simplifying
r = 2

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