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Simplifying -12r + 6(-16r + -5) = -6(19r + 19) Reorder the terms: -12r + 6(-5 + -16r) = -6(19r + 19) -12r + (-5 * 6 + -16r * 6) = -6(19r + 19) -12r + (-30 + -96r) = -6(19r + 19) Reorder the terms: -30 + -12r + -96r = -6(19r + 19) Combine like terms: -12r + -96r = -108r -30 + -108r = -6(19r + 19) Reorder the terms: -30 + -108r = -6(19 + 19r) -30 + -108r = (19 * -6 + 19r * -6) -30 + -108r = (-114 + -114r) Solving -30 + -108r = -114 + -114r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '114r' to each side of the equation. -30 + -108r + 114r = -114 + -114r + 114r Combine like terms: -108r + 114r = 6r -30 + 6r = -114 + -114r + 114r Combine like terms: -114r + 114r = 0 -30 + 6r = -114 + 0 -30 + 6r = -114 Add '30' to each side of the equation. -30 + 30 + 6r = -114 + 30 Combine like terms: -30 + 30 = 0 0 + 6r = -114 + 30 6r = -114 + 30 Combine like terms: -114 + 30 = -84 6r = -84 Divide each side by '6'. r = -14 Simplifying r = -14
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