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Simplifying -33 + 7r = -8(2r + 9) Reorder the terms: -33 + 7r = -8(9 + 2r) -33 + 7r = (9 * -8 + 2r * -8) -33 + 7r = (-72 + -16r) Solving -33 + 7r = -72 + -16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16r' to each side of the equation. -33 + 7r + 16r = -72 + -16r + 16r Combine like terms: 7r + 16r = 23r -33 + 23r = -72 + -16r + 16r Combine like terms: -16r + 16r = 0 -33 + 23r = -72 + 0 -33 + 23r = -72 Add '33' to each side of the equation. -33 + 33 + 23r = -72 + 33 Combine like terms: -33 + 33 = 0 0 + 23r = -72 + 33 23r = -72 + 33 Combine like terms: -72 + 33 = -39 23r = -39 Divide each side by '23'. r = -1.695652174 Simplifying r = -1.695652174
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