-7(1-4)-4(-2r+3)=17

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Solution for -7(1-4)-4(-2r+3)=17 equation:


Simplifying
-7(1 + -4) + -4(-2r + 3) = 17

Combine like terms: 1 + -4 = -3
-7(-3) + -4(-2r + 3) = 17

Multiply -7 * -3
21 + -4(-2r + 3) = 17

Reorder the terms:
21 + -4(3 + -2r) = 17
21 + (3 * -4 + -2r * -4) = 17
21 + (-12 + 8r) = 17

Combine like terms: 21 + -12 = 9
9 + 8r = 17

Solving
9 + 8r = 17

Solving for variable 'r'.

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

Add '-9' to each side of the equation.
9 + -9 + 8r = 17 + -9

Combine like terms: 9 + -9 = 0
0 + 8r = 17 + -9
8r = 17 + -9

Combine like terms: 17 + -9 = 8
8r = 8

Divide each side by '8'.
r = 1

Simplifying
r = 1

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