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Simplifying 3(r + (-6)) + 2 = 4(r + 2) + (-21) 3(r + -6) + 2 = 4(r + 2) + (-21) Reorder the terms: 3(-6 + r) + 2 = 4(r + 2) + (-21) (-6 * 3 + r * 3) + 2 = 4(r + 2) + (-21) (-18 + 3r) + 2 = 4(r + 2) + (-21) Reorder the terms: -18 + 2 + 3r = 4(r + 2) + (-21) Combine like terms: -18 + 2 = -16 -16 + 3r = 4(r + 2) + (-21) Reorder the terms: -16 + 3r = 4(2 + r) + (-21) -16 + 3r = (2 * 4 + r * 4) + (-21) -16 + 3r = (8 + 4r) + (-21) -16 + 3r = 8 + 4r + -21 Reorder the terms: -16 + 3r = 8 + -21 + 4r Combine like terms: 8 + -21 = -13 -16 + 3r = -13 + 4r Solving -16 + 3r = -13 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -16 + 3r + -4r = -13 + 4r + -4r Combine like terms: 3r + -4r = -1r -16 + -1r = -13 + 4r + -4r Combine like terms: 4r + -4r = 0 -16 + -1r = -13 + 0 -16 + -1r = -13 Add '16' to each side of the equation. -16 + 16 + -1r = -13 + 16 Combine like terms: -16 + 16 = 0 0 + -1r = -13 + 16 -1r = -13 + 16 Combine like terms: -13 + 16 = 3 -1r = 3 Divide each side by '-1'. r = -3 Simplifying r = -3
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