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Simplifying 13 + -1r = -4(4r + 8) Reorder the terms: 13 + -1r = -4(8 + 4r) 13 + -1r = (8 * -4 + 4r * -4) 13 + -1r = (-32 + -16r) Solving 13 + -1r = -32 + -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. 13 + -1r + 16r = -32 + -16r + 16r Combine like terms: -1r + 16r = 15r 13 + 15r = -32 + -16r + 16r Combine like terms: -16r + 16r = 0 13 + 15r = -32 + 0 13 + 15r = -32 Add '-13' to each side of the equation. 13 + -13 + 15r = -32 + -13 Combine like terms: 13 + -13 = 0 0 + 15r = -32 + -13 15r = -32 + -13 Combine like terms: -32 + -13 = -45 15r = -45 Divide each side by '15'. r = -3 Simplifying r = -3
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