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Simplifying -1(1 + 4r) + 3r = 3(-3r + -3) (1 * -1 + 4r * -1) + 3r = 3(-3r + -3) (-1 + -4r) + 3r = 3(-3r + -3) Combine like terms: -4r + 3r = -1r -1 + -1r = 3(-3r + -3) Reorder the terms: -1 + -1r = 3(-3 + -3r) -1 + -1r = (-3 * 3 + -3r * 3) -1 + -1r = (-9 + -9r) Solving -1 + -1r = -9 + -9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9r' to each side of the equation. -1 + -1r + 9r = -9 + -9r + 9r Combine like terms: -1r + 9r = 8r -1 + 8r = -9 + -9r + 9r Combine like terms: -9r + 9r = 0 -1 + 8r = -9 + 0 -1 + 8r = -9 Add '1' to each side of the equation. -1 + 1 + 8r = -9 + 1 Combine like terms: -1 + 1 = 0 0 + 8r = -9 + 1 8r = -9 + 1 Combine like terms: -9 + 1 = -8 8r = -8 Divide each side by '8'. r = -1 Simplifying r = -1
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