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Simplifying 56 = 4(3r + -7) + -6(4 + -7r) Reorder the terms: 56 = 4(-7 + 3r) + -6(4 + -7r) 56 = (-7 * 4 + 3r * 4) + -6(4 + -7r) 56 = (-28 + 12r) + -6(4 + -7r) 56 = -28 + 12r + (4 * -6 + -7r * -6) 56 = -28 + 12r + (-24 + 42r) Reorder the terms: 56 = -28 + -24 + 12r + 42r Combine like terms: -28 + -24 = -52 56 = -52 + 12r + 42r Combine like terms: 12r + 42r = 54r 56 = -52 + 54r Solving 56 = -52 + 54r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-54r' to each side of the equation. 56 + -54r = -52 + 54r + -54r Combine like terms: 54r + -54r = 0 56 + -54r = -52 + 0 56 + -54r = -52 Add '-56' to each side of the equation. 56 + -56 + -54r = -52 + -56 Combine like terms: 56 + -56 = 0 0 + -54r = -52 + -56 -54r = -52 + -56 Combine like terms: -52 + -56 = -108 -54r = -108 Divide each side by '-54'. r = 2 Simplifying r = 2
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