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Simplifying -18 = 2(-8r + 3) + -7(-6 + -7r) Reorder the terms: -18 = 2(3 + -8r) + -7(-6 + -7r) -18 = (3 * 2 + -8r * 2) + -7(-6 + -7r) -18 = (6 + -16r) + -7(-6 + -7r) -18 = 6 + -16r + (-6 * -7 + -7r * -7) -18 = 6 + -16r + (42 + 49r) Reorder the terms: -18 = 6 + 42 + -16r + 49r Combine like terms: 6 + 42 = 48 -18 = 48 + -16r + 49r Combine like terms: -16r + 49r = 33r -18 = 48 + 33r Solving -18 = 48 + 33r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-33r' to each side of the equation. -18 + -33r = 48 + 33r + -33r Combine like terms: 33r + -33r = 0 -18 + -33r = 48 + 0 -18 + -33r = 48 Add '18' to each side of the equation. -18 + 18 + -33r = 48 + 18 Combine like terms: -18 + 18 = 0 0 + -33r = 48 + 18 -33r = 48 + 18 Combine like terms: 48 + 18 = 66 -33r = 66 Divide each side by '-33'. r = -2 Simplifying r = -2
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