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Simplifying 42r + -2(13 + -55r) + 7 = 8 42r + (13 * -2 + -55r * -2) + 7 = 8 42r + (-26 + 110r) + 7 = 8 Reorder the terms: -26 + 7 + 42r + 110r = 8 Combine like terms: -26 + 7 = -19 -19 + 42r + 110r = 8 Combine like terms: 42r + 110r = 152r -19 + 152r = 8 Solving -19 + 152r = 8 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 + 152r = 8 + 19 Combine like terms: -19 + 19 = 0 0 + 152r = 8 + 19 152r = 8 + 19 Combine like terms: 8 + 19 = 27 152r = 27 Divide each side by '152'. r = 0.1776315789 Simplifying r = 0.1776315789
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