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Simplifying -36 + -3r = -8r + -8(2r + -6) Reorder the terms: -36 + -3r = -8r + -8(-6 + 2r) -36 + -3r = -8r + (-6 * -8 + 2r * -8) -36 + -3r = -8r + (48 + -16r) Reorder the terms: -36 + -3r = 48 + -8r + -16r Combine like terms: -8r + -16r = -24r -36 + -3r = 48 + -24r Solving -36 + -3r = 48 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. -36 + -3r + 24r = 48 + -24r + 24r Combine like terms: -3r + 24r = 21r -36 + 21r = 48 + -24r + 24r Combine like terms: -24r + 24r = 0 -36 + 21r = 48 + 0 -36 + 21r = 48 Add '36' to each side of the equation. -36 + 36 + 21r = 48 + 36 Combine like terms: -36 + 36 = 0 0 + 21r = 48 + 36 21r = 48 + 36 Combine like terms: 48 + 36 = 84 21r = 84 Divide each side by '21'. r = 4 Simplifying r = 4
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