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Simplifying 8 + 5(3r + -4) = 7(r + -12) Reorder the terms: 8 + 5(-4 + 3r) = 7(r + -12) 8 + (-4 * 5 + 3r * 5) = 7(r + -12) 8 + (-20 + 15r) = 7(r + -12) Combine like terms: 8 + -20 = -12 -12 + 15r = 7(r + -12) Reorder the terms: -12 + 15r = 7(-12 + r) -12 + 15r = (-12 * 7 + r * 7) -12 + 15r = (-84 + 7r) Solving -12 + 15r = -84 + 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. -12 + 15r + -7r = -84 + 7r + -7r Combine like terms: 15r + -7r = 8r -12 + 8r = -84 + 7r + -7r Combine like terms: 7r + -7r = 0 -12 + 8r = -84 + 0 -12 + 8r = -84 Add '12' to each side of the equation. -12 + 12 + 8r = -84 + 12 Combine like terms: -12 + 12 = 0 0 + 8r = -84 + 12 8r = -84 + 12 Combine like terms: -84 + 12 = -72 8r = -72 Divide each side by '8'. r = -9 Simplifying r = -9
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