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Simplifying -5 + -2r = -3(-7r + 8) + -4 Reorder the terms: -5 + -2r = -3(8 + -7r) + -4 -5 + -2r = (8 * -3 + -7r * -3) + -4 -5 + -2r = (-24 + 21r) + -4 Reorder the terms: -5 + -2r = -24 + -4 + 21r Combine like terms: -24 + -4 = -28 -5 + -2r = -28 + 21r Solving -5 + -2r = -28 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. -5 + -2r + -21r = -28 + 21r + -21r Combine like terms: -2r + -21r = -23r -5 + -23r = -28 + 21r + -21r Combine like terms: 21r + -21r = 0 -5 + -23r = -28 + 0 -5 + -23r = -28 Add '5' to each side of the equation. -5 + 5 + -23r = -28 + 5 Combine like terms: -5 + 5 = 0 0 + -23r = -28 + 5 -23r = -28 + 5 Combine like terms: -28 + 5 = -23 -23r = -23 Divide each side by '-23'. r = 1 Simplifying r = 1
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