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Simplifying 7 + -3r = r + -1(2 + 3) Combine like terms: 2 + 3 = 5 7 + -3r = r + -1(5) Multiply -1 * 5 7 + -3r = r + -5 Reorder the terms: 7 + -3r = -5 + r Solving 7 + -3r = -5 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 7 + -3r + -1r = -5 + r + -1r Combine like terms: -3r + -1r = -4r 7 + -4r = -5 + r + -1r Combine like terms: r + -1r = 0 7 + -4r = -5 + 0 7 + -4r = -5 Add '-7' to each side of the equation. 7 + -7 + -4r = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -4r = -5 + -7 -4r = -5 + -7 Combine like terms: -5 + -7 = -12 -4r = -12 Divide each side by '-4'. r = 3 Simplifying r = 3
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