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Simplifying 5 + -2(10r + 4) = -9(r + -7) Reorder the terms: 5 + -2(4 + 10r) = -9(r + -7) 5 + (4 * -2 + 10r * -2) = -9(r + -7) 5 + (-8 + -20r) = -9(r + -7) Combine like terms: 5 + -8 = -3 -3 + -20r = -9(r + -7) Reorder the terms: -3 + -20r = -9(-7 + r) -3 + -20r = (-7 * -9 + r * -9) -3 + -20r = (63 + -9r) Solving -3 + -20r = 63 + -9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9r' to each side of the equation. -3 + -20r + 9r = 63 + -9r + 9r Combine like terms: -20r + 9r = -11r -3 + -11r = 63 + -9r + 9r Combine like terms: -9r + 9r = 0 -3 + -11r = 63 + 0 -3 + -11r = 63 Add '3' to each side of the equation. -3 + 3 + -11r = 63 + 3 Combine like terms: -3 + 3 = 0 0 + -11r = 63 + 3 -11r = 63 + 3 Combine like terms: 63 + 3 = 66 -11r = 66 Divide each side by '-11'. r = -6 Simplifying r = -6
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