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Simplifying -99 = -6(4r + 6) + 3r Reorder the terms: -99 = -6(6 + 4r) + 3r -99 = (6 * -6 + 4r * -6) + 3r -99 = (-36 + -24r) + 3r Combine like terms: -24r + 3r = -21r -99 = -36 + -21r Solving -99 = -36 + -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. -99 + 21r = -36 + -21r + 21r Combine like terms: -21r + 21r = 0 -99 + 21r = -36 + 0 -99 + 21r = -36 Add '99' to each side of the equation. -99 + 99 + 21r = -36 + 99 Combine like terms: -99 + 99 = 0 0 + 21r = -36 + 99 21r = -36 + 99 Combine like terms: -36 + 99 = 63 21r = 63 Divide each side by '21'. r = 3 Simplifying r = 3
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