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Simplifying 7 + -3r + -1r = 4(2 + r) Combine like terms: -3r + -1r = -4r 7 + -4r = 4(2 + r) 7 + -4r = (2 * 4 + r * 4) 7 + -4r = (8 + 4r) Solving 7 + -4r = 8 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 7 + -4r + -4r = 8 + 4r + -4r Combine like terms: -4r + -4r = -8r 7 + -8r = 8 + 4r + -4r Combine like terms: 4r + -4r = 0 7 + -8r = 8 + 0 7 + -8r = 8 Add '-7' to each side of the equation. 7 + -7 + -8r = 8 + -7 Combine like terms: 7 + -7 = 0 0 + -8r = 8 + -7 -8r = 8 + -7 Combine like terms: 8 + -7 = 1 -8r = 1 Divide each side by '-8'. r = -0.125 Simplifying r = -0.125
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