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Simplifying -7(7r + 6) + -2(6r + -6) = -30 Reorder the terms: -7(6 + 7r) + -2(6r + -6) = -30 (6 * -7 + 7r * -7) + -2(6r + -6) = -30 (-42 + -49r) + -2(6r + -6) = -30 Reorder the terms: -42 + -49r + -2(-6 + 6r) = -30 -42 + -49r + (-6 * -2 + 6r * -2) = -30 -42 + -49r + (12 + -12r) = -30 Reorder the terms: -42 + 12 + -49r + -12r = -30 Combine like terms: -42 + 12 = -30 -30 + -49r + -12r = -30 Combine like terms: -49r + -12r = -61r -30 + -61r = -30 Add '30' to each side of the equation. -30 + 30 + -61r = -30 + 30 Combine like terms: -30 + 30 = 0 0 + -61r = -30 + 30 -61r = -30 + 30 Combine like terms: -30 + 30 = 0 -61r = 0 Solving -61r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Divide each side by '-61'. r = 0 Simplifying r = 0
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