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Simplifying -202 = -4(4 + -7r) + 3r -202 = (4 * -4 + -7r * -4) + 3r -202 = (-16 + 28r) + 3r Combine like terms: 28r + 3r = 31r -202 = -16 + 31r Solving -202 = -16 + 31r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-31r' to each side of the equation. -202 + -31r = -16 + 31r + -31r Combine like terms: 31r + -31r = 0 -202 + -31r = -16 + 0 -202 + -31r = -16 Add '202' to each side of the equation. -202 + 202 + -31r = -16 + 202 Combine like terms: -202 + 202 = 0 0 + -31r = -16 + 202 -31r = -16 + 202 Combine like terms: -16 + 202 = 186 -31r = 186 Divide each side by '-31'. r = -6 Simplifying r = -6
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