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Simplifying 8(r + -3) = 5(3r + 7) Reorder the terms: 8(-3 + r) = 5(3r + 7) (-3 * 8 + r * 8) = 5(3r + 7) (-24 + 8r) = 5(3r + 7) Reorder the terms: -24 + 8r = 5(7 + 3r) -24 + 8r = (7 * 5 + 3r * 5) -24 + 8r = (35 + 15r) Solving -24 + 8r = 35 + 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. -24 + 8r + -15r = 35 + 15r + -15r Combine like terms: 8r + -15r = -7r -24 + -7r = 35 + 15r + -15r Combine like terms: 15r + -15r = 0 -24 + -7r = 35 + 0 -24 + -7r = 35 Add '24' to each side of the equation. -24 + 24 + -7r = 35 + 24 Combine like terms: -24 + 24 = 0 0 + -7r = 35 + 24 -7r = 35 + 24 Combine like terms: 35 + 24 = 59 -7r = 59 Divide each side by '-7'. r = -8.428571429 Simplifying r = -8.428571429
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