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Simplifying -6r + -4(1 + 3r) = 36 + 2r -6r + (1 * -4 + 3r * -4) = 36 + 2r -6r + (-4 + -12r) = 36 + 2r Reorder the terms: -4 + -6r + -12r = 36 + 2r Combine like terms: -6r + -12r = -18r -4 + -18r = 36 + 2r Solving -4 + -18r = 36 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -4 + -18r + -2r = 36 + 2r + -2r Combine like terms: -18r + -2r = -20r -4 + -20r = 36 + 2r + -2r Combine like terms: 2r + -2r = 0 -4 + -20r = 36 + 0 -4 + -20r = 36 Add '4' to each side of the equation. -4 + 4 + -20r = 36 + 4 Combine like terms: -4 + 4 = 0 0 + -20r = 36 + 4 -20r = 36 + 4 Combine like terms: 36 + 4 = 40 -20r = 40 Divide each side by '-20'. r = -2 Simplifying r = -2
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