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Simplifying (4r + -7) + -1(3r + 12) = 0 Reorder the terms: (-7 + 4r) + -1(3r + 12) = 0 Remove parenthesis around (-7 + 4r) -7 + 4r + -1(3r + 12) = 0 Reorder the terms: -7 + 4r + -1(12 + 3r) = 0 -7 + 4r + (12 * -1 + 3r * -1) = 0 -7 + 4r + (-12 + -3r) = 0 Reorder the terms: -7 + -12 + 4r + -3r = 0 Combine like terms: -7 + -12 = -19 -19 + 4r + -3r = 0 Combine like terms: 4r + -3r = 1r -19 + 1r = 0 Solving -19 + 1r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1r = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 1r = 0 + 19 1r = 0 + 19 Combine like terms: 0 + 19 = 19 1r = 19 Divide each side by '1'. r = 19 Simplifying r = 19
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