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Simplifying -5(1 + 3r) + -12r = 10(-3r + -5) (1 * -5 + 3r * -5) + -12r = 10(-3r + -5) (-5 + -15r) + -12r = 10(-3r + -5) Combine like terms: -15r + -12r = -27r -5 + -27r = 10(-3r + -5) Reorder the terms: -5 + -27r = 10(-5 + -3r) -5 + -27r = (-5 * 10 + -3r * 10) -5 + -27r = (-50 + -30r) Solving -5 + -27r = -50 + -30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30r' to each side of the equation. -5 + -27r + 30r = -50 + -30r + 30r Combine like terms: -27r + 30r = 3r -5 + 3r = -50 + -30r + 30r Combine like terms: -30r + 30r = 0 -5 + 3r = -50 + 0 -5 + 3r = -50 Add '5' to each side of the equation. -5 + 5 + 3r = -50 + 5 Combine like terms: -5 + 5 = 0 0 + 3r = -50 + 5 3r = -50 + 5 Combine like terms: -50 + 5 = -45 3r = -45 Divide each side by '3'. r = -15 Simplifying r = -15
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