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Simplifying 7 + -3r = r + -4(2 + -1r) 7 + -3r = r + (2 * -4 + -1r * -4) 7 + -3r = r + (-8 + 4r) Reorder the terms: 7 + -3r = -8 + r + 4r Combine like terms: r + 4r = 5r 7 + -3r = -8 + 5r Solving 7 + -3r = -8 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 7 + -3r + -5r = -8 + 5r + -5r Combine like terms: -3r + -5r = -8r 7 + -8r = -8 + 5r + -5r Combine like terms: 5r + -5r = 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 = -15 -8r = -15 Divide each side by '-8'. r = 1.875 Simplifying r = 1.875
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