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Simplifying -8(4 + 9r) = 7(r + -11r) (4 * -8 + 9r * -8) = 7(r + -11r) (-32 + -72r) = 7(r + -11r) Combine like terms: r + -11r = -10r -32 + -72r = 7(-10r) Remove parenthesis around (-10r) -32 + -72r = 7 * -10r Multiply 7 * -10 -32 + -72r = -70r Solving -32 + -72r = -70r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '70r' to each side of the equation. -32 + -72r + 70r = -70r + 70r Combine like terms: -72r + 70r = -2r -32 + -2r = -70r + 70r Combine like terms: -70r + 70r = 0 -32 + -2r = 0 Add '32' to each side of the equation. -32 + 32 + -2r = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -2r = 0 + 32 -2r = 0 + 32 Combine like terms: 0 + 32 = 32 -2r = 32 Divide each side by '-2'. r = -16 Simplifying r = -16
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