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Simplifying 6r + -30 = -8(1 + 2r) Reorder the terms: -30 + 6r = -8(1 + 2r) -30 + 6r = (1 * -8 + 2r * -8) -30 + 6r = (-8 + -16r) Solving -30 + 6r = -8 + -16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16r' to each side of the equation. -30 + 6r + 16r = -8 + -16r + 16r Combine like terms: 6r + 16r = 22r -30 + 22r = -8 + -16r + 16r Combine like terms: -16r + 16r = 0 -30 + 22r = -8 + 0 -30 + 22r = -8 Add '30' to each side of the equation. -30 + 30 + 22r = -8 + 30 Combine like terms: -30 + 30 = 0 0 + 22r = -8 + 30 22r = -8 + 30 Combine like terms: -8 + 30 = 22 22r = 22 Divide each side by '22'. r = 1 Simplifying r = 1
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