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Simplifying -3(1 + 7r) + 2r = -8(1 + 3r) (1 * -3 + 7r * -3) + 2r = -8(1 + 3r) (-3 + -21r) + 2r = -8(1 + 3r) Combine like terms: -21r + 2r = -19r -3 + -19r = -8(1 + 3r) -3 + -19r = (1 * -8 + 3r * -8) -3 + -19r = (-8 + -24r) Solving -3 + -19r = -8 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. -3 + -19r + 24r = -8 + -24r + 24r Combine like terms: -19r + 24r = 5r -3 + 5r = -8 + -24r + 24r Combine like terms: -24r + 24r = 0 -3 + 5r = -8 + 0 -3 + 5r = -8 Add '3' to each side of the equation. -3 + 3 + 5r = -8 + 3 Combine like terms: -3 + 3 = 0 0 + 5r = -8 + 3 5r = -8 + 3 Combine like terms: -8 + 3 = -5 5r = -5 Divide each side by '5'. r = -1 Simplifying r = -1
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