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Simplifying 4(r + 8) = 2(r + -35) Reorder the terms: 4(8 + r) = 2(r + -35) (8 * 4 + r * 4) = 2(r + -35) (32 + 4r) = 2(r + -35) Reorder the terms: 32 + 4r = 2(-35 + r) 32 + 4r = (-35 * 2 + r * 2) 32 + 4r = (-70 + 2r) Solving 32 + 4r = -70 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 32 + 4r + -2r = -70 + 2r + -2r Combine like terms: 4r + -2r = 2r 32 + 2r = -70 + 2r + -2r Combine like terms: 2r + -2r = 0 32 + 2r = -70 + 0 32 + 2r = -70 Add '-32' to each side of the equation. 32 + -32 + 2r = -70 + -32 Combine like terms: 32 + -32 = 0 0 + 2r = -70 + -32 2r = -70 + -32 Combine like terms: -70 + -32 = -102 2r = -102 Divide each side by '2'. r = -51 Simplifying r = -51
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