-10(2r+3)+4(r-8)=-46

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Solution for -10(2r+3)+4(r-8)=-46 equation:


Simplifying
-10(2r + 3) + 4(r + -8) = -46

Reorder the terms:
-10(3 + 2r) + 4(r + -8) = -46
(3 * -10 + 2r * -10) + 4(r + -8) = -46
(-30 + -20r) + 4(r + -8) = -46

Reorder the terms:
-30 + -20r + 4(-8 + r) = -46
-30 + -20r + (-8 * 4 + r * 4) = -46
-30 + -20r + (-32 + 4r) = -46

Reorder the terms:
-30 + -32 + -20r + 4r = -46

Combine like terms: -30 + -32 = -62
-62 + -20r + 4r = -46

Combine like terms: -20r + 4r = -16r
-62 + -16r = -46

Solving
-62 + -16r = -46

Solving for variable 'r'.

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

Add '62' to each side of the equation.
-62 + 62 + -16r = -46 + 62

Combine like terms: -62 + 62 = 0
0 + -16r = -46 + 62
-16r = -46 + 62

Combine like terms: -46 + 62 = 16
-16r = 16

Divide each side by '-16'.
r = -1

Simplifying
r = -1

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