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Simplifying r + -8 = -5(3r + -8) Reorder the terms: -8 + r = -5(3r + -8) Reorder the terms: -8 + r = -5(-8 + 3r) -8 + r = (-8 * -5 + 3r * -5) -8 + r = (40 + -15r) Solving -8 + r = 40 + -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. -8 + r + 15r = 40 + -15r + 15r Combine like terms: r + 15r = 16r -8 + 16r = 40 + -15r + 15r Combine like terms: -15r + 15r = 0 -8 + 16r = 40 + 0 -8 + 16r = 40 Add '8' to each side of the equation. -8 + 8 + 16r = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 16r = 40 + 8 16r = 40 + 8 Combine like terms: 40 + 8 = 48 16r = 48 Divide each side by '16'. r = 3 Simplifying r = 3
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