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Simplifying 7 + -1r = r + -4(2 + r) 7 + -1r = r + (2 * -4 + r * -4) 7 + -1r = r + (-8 + -4r) Reorder the terms: 7 + -1r = -8 + r + -4r Combine like terms: r + -4r = -3r 7 + -1r = -8 + -3r Solving 7 + -1r = -8 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 7 + -1r + 3r = -8 + -3r + 3r Combine like terms: -1r + 3r = 2r 7 + 2r = -8 + -3r + 3r Combine like terms: -3r + 3r = 0 7 + 2r = -8 + 0 7 + 2r = -8 Add '-7' to each side of the equation. 7 + -7 + 2r = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 2r = -8 + -7 2r = -8 + -7 Combine like terms: -8 + -7 = -15 2r = -15 Divide each side by '2'. r = -7.5 Simplifying r = -7.5
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