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Simplifying 30 + -2r = 4 + -2(8 + 8r) 30 + -2r = 4 + (8 * -2 + 8r * -2) 30 + -2r = 4 + (-16 + -16r) Combine like terms: 4 + -16 = -12 30 + -2r = -12 + -16r Solving 30 + -2r = -12 + -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 + -2r + 16r = -12 + -16r + 16r Combine like terms: -2r + 16r = 14r 30 + 14r = -12 + -16r + 16r Combine like terms: -16r + 16r = 0 30 + 14r = -12 + 0 30 + 14r = -12 Add '-30' to each side of the equation. 30 + -30 + 14r = -12 + -30 Combine like terms: 30 + -30 = 0 0 + 14r = -12 + -30 14r = -12 + -30 Combine like terms: -12 + -30 = -42 14r = -42 Divide each side by '14'. r = -3 Simplifying r = -3
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