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Simplifying -7 + 7r = 4(7 + 3r) -7 + 7r = (7 * 4 + 3r * 4) -7 + 7r = (28 + 12r) Solving -7 + 7r = 28 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -7 + 7r + -12r = 28 + 12r + -12r Combine like terms: 7r + -12r = -5r -7 + -5r = 28 + 12r + -12r Combine like terms: 12r + -12r = 0 -7 + -5r = 28 + 0 -7 + -5r = 28 Add '7' to each side of the equation. -7 + 7 + -5r = 28 + 7 Combine like terms: -7 + 7 = 0 0 + -5r = 28 + 7 -5r = 28 + 7 Combine like terms: 28 + 7 = 35 -5r = 35 Divide each side by '-5'. r = -7 Simplifying r = -7
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