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Simplifying -12r + -49 = -4(1 + 7r) + 3 Reorder the terms: -49 + -12r = -4(1 + 7r) + 3 -49 + -12r = (1 * -4 + 7r * -4) + 3 -49 + -12r = (-4 + -28r) + 3 Reorder the terms: -49 + -12r = -4 + 3 + -28r Combine like terms: -4 + 3 = -1 -49 + -12r = -1 + -28r Solving -49 + -12r = -1 + -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. -49 + -12r + 28r = -1 + -28r + 28r Combine like terms: -12r + 28r = 16r -49 + 16r = -1 + -28r + 28r Combine like terms: -28r + 28r = 0 -49 + 16r = -1 + 0 -49 + 16r = -1 Add '49' to each side of the equation. -49 + 49 + 16r = -1 + 49 Combine like terms: -49 + 49 = 0 0 + 16r = -1 + 49 16r = -1 + 49 Combine like terms: -1 + 49 = 48 16r = 48 Divide each side by '16'. r = 3 Simplifying r = 3
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