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Simplifying -8 + -4(1 + 5r) = 3(-7r + -6) -8 + (1 * -4 + 5r * -4) = 3(-7r + -6) -8 + (-4 + -20r) = 3(-7r + -6) Combine like terms: -8 + -4 = -12 -12 + -20r = 3(-7r + -6) Reorder the terms: -12 + -20r = 3(-6 + -7r) -12 + -20r = (-6 * 3 + -7r * 3) -12 + -20r = (-18 + -21r) Solving -12 + -20r = -18 + -21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '21r' to each side of the equation. -12 + -20r + 21r = -18 + -21r + 21r Combine like terms: -20r + 21r = 1r -12 + 1r = -18 + -21r + 21r Combine like terms: -21r + 21r = 0 -12 + 1r = -18 + 0 -12 + 1r = -18 Add '12' to each side of the equation. -12 + 12 + 1r = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 1r = -18 + 12 1r = -18 + 12 Combine like terms: -18 + 12 = -6 1r = -6 Divide each side by '1'. r = -6 Simplifying r = -6
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