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Simplifying -4(-5r + 3) + -3(6r + 3) = r + -5 + -4 Reorder the terms: -4(3 + -5r) + -3(6r + 3) = r + -5 + -4 (3 * -4 + -5r * -4) + -3(6r + 3) = r + -5 + -4 (-12 + 20r) + -3(6r + 3) = r + -5 + -4 Reorder the terms: -12 + 20r + -3(3 + 6r) = r + -5 + -4 -12 + 20r + (3 * -3 + 6r * -3) = r + -5 + -4 -12 + 20r + (-9 + -18r) = r + -5 + -4 Reorder the terms: -12 + -9 + 20r + -18r = r + -5 + -4 Combine like terms: -12 + -9 = -21 -21 + 20r + -18r = r + -5 + -4 Combine like terms: 20r + -18r = 2r -21 + 2r = r + -5 + -4 Reorder the terms: -21 + 2r = -5 + -4 + r Combine like terms: -5 + -4 = -9 -21 + 2r = -9 + r Solving -21 + 2r = -9 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -21 + 2r + -1r = -9 + r + -1r Combine like terms: 2r + -1r = 1r -21 + 1r = -9 + r + -1r Combine like terms: r + -1r = 0 -21 + 1r = -9 + 0 -21 + 1r = -9 Add '21' to each side of the equation. -21 + 21 + 1r = -9 + 21 Combine like terms: -21 + 21 = 0 0 + 1r = -9 + 21 1r = -9 + 21 Combine like terms: -9 + 21 = 12 1r = 12 Divide each side by '1'. r = 12 Simplifying r = 12
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