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Simplifying -93 = 7(3 + -4r) + -2 -93 = (3 * 7 + -4r * 7) + -2 -93 = (21 + -28r) + -2 Reorder the terms: -93 = 21 + -2 + -28r Combine like terms: 21 + -2 = 19 -93 = 19 + -28r Solving -93 = 19 + -28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '28r' to each side of the equation. -93 + 28r = 19 + -28r + 28r Combine like terms: -28r + 28r = 0 -93 + 28r = 19 + 0 -93 + 28r = 19 Add '93' to each side of the equation. -93 + 93 + 28r = 19 + 93 Combine like terms: -93 + 93 = 0 0 + 28r = 19 + 93 28r = 19 + 93 Combine like terms: 19 + 93 = 112 28r = 112 Divide each side by '28'. r = 4 Simplifying r = 4
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