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Simplifying -30 = -3(-4 + 12r) + -6(r + -7) -30 = (-4 * -3 + 12r * -3) + -6(r + -7) -30 = (12 + -36r) + -6(r + -7) Reorder the terms: -30 = 12 + -36r + -6(-7 + r) -30 = 12 + -36r + (-7 * -6 + r * -6) -30 = 12 + -36r + (42 + -6r) Reorder the terms: -30 = 12 + 42 + -36r + -6r Combine like terms: 12 + 42 = 54 -30 = 54 + -36r + -6r Combine like terms: -36r + -6r = -42r -30 = 54 + -42r Solving -30 = 54 + -42r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '42r' to each side of the equation. -30 + 42r = 54 + -42r + 42r Combine like terms: -42r + 42r = 0 -30 + 42r = 54 + 0 -30 + 42r = 54 Add '30' to each side of the equation. -30 + 30 + 42r = 54 + 30 Combine like terms: -30 + 30 = 0 0 + 42r = 54 + 30 42r = 54 + 30 Combine like terms: 54 + 30 = 84 42r = 84 Divide each side by '42'. r = 2 Simplifying r = 2
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