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Simplifying 7(4 + -6r) + 7(-1r + -4) = 8r + 4r (4 * 7 + -6r * 7) + 7(-1r + -4) = 8r + 4r (28 + -42r) + 7(-1r + -4) = 8r + 4r Reorder the terms: 28 + -42r + 7(-4 + -1r) = 8r + 4r 28 + -42r + (-4 * 7 + -1r * 7) = 8r + 4r 28 + -42r + (-28 + -7r) = 8r + 4r Reorder the terms: 28 + -28 + -42r + -7r = 8r + 4r Combine like terms: 28 + -28 = 0 0 + -42r + -7r = 8r + 4r -42r + -7r = 8r + 4r Combine like terms: -42r + -7r = -49r -49r = 8r + 4r Combine like terms: 8r + 4r = 12r -49r = 12r Solving -49r = 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -49r + -12r = 12r + -12r Combine like terms: -49r + -12r = -61r -61r = 12r + -12r Combine like terms: 12r + -12r = 0 -61r = 0 Divide each side by '-61'. r = 0 Simplifying r = 0
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