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Simplifying -4 + 5(r + -4) = -40 + 7r Reorder the terms: -4 + 5(-4 + r) = -40 + 7r -4 + (-4 * 5 + r * 5) = -40 + 7r -4 + (-20 + 5r) = -40 + 7r Combine like terms: -4 + -20 = -24 -24 + 5r = -40 + 7r Solving -24 + 5r = -40 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -24 + 5r + -7r = -40 + 7r + -7r Combine like terms: 5r + -7r = -2r -24 + -2r = -40 + 7r + -7r Combine like terms: 7r + -7r = 0 -24 + -2r = -40 + 0 -24 + -2r = -40 Add '24' to each side of the equation. -24 + 24 + -2r = -40 + 24 Combine like terms: -24 + 24 = 0 0 + -2r = -40 + 24 -2r = -40 + 24 Combine like terms: -40 + 24 = -16 -2r = -16 Divide each side by '-2'. r = 8 Simplifying r = 8
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