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Simplifying -7 + -5(-8 + 3r) = -8r + 40 -7 + (-8 * -5 + 3r * -5) = -8r + 40 -7 + (40 + -15r) = -8r + 40 Combine like terms: -7 + 40 = 33 33 + -15r = -8r + 40 Reorder the terms: 33 + -15r = 40 + -8r Solving 33 + -15r = 40 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 33 + -15r + 8r = 40 + -8r + 8r Combine like terms: -15r + 8r = -7r 33 + -7r = 40 + -8r + 8r Combine like terms: -8r + 8r = 0 33 + -7r = 40 + 0 33 + -7r = 40 Add '-33' to each side of the equation. 33 + -33 + -7r = 40 + -33 Combine like terms: 33 + -33 = 0 0 + -7r = 40 + -33 -7r = 40 + -33 Combine like terms: 40 + -33 = 7 -7r = 7 Divide each side by '-7'. r = -1 Simplifying r = -1
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