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Simplifying -2(3rc + 6) + -1(4rc + -3) = 21 Reorder the terms: -2(6 + 3cr) + -1(4rc + -3) = 21 (6 * -2 + 3cr * -2) + -1(4rc + -3) = 21 (-12 + -6cr) + -1(4rc + -3) = 21 Reorder the terms: -12 + -6cr + -1(-3 + 4cr) = 21 -12 + -6cr + (-3 * -1 + 4cr * -1) = 21 -12 + -6cr + (3 + -4cr) = 21 Reorder the terms: -12 + 3 + -6cr + -4cr = 21 Combine like terms: -12 + 3 = -9 -9 + -6cr + -4cr = 21 Combine like terms: -6cr + -4cr = -10cr -9 + -10cr = 21 Solving -9 + -10cr = 21 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -10cr = 21 + 9 Combine like terms: -9 + 9 = 0 0 + -10cr = 21 + 9 -10cr = 21 + 9 Combine like terms: 21 + 9 = 30 -10cr = 30 Divide each side by '-10r'. c = -3r-1 Simplifying c = -3r-1
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