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Simplifying 4(2k + -2) = 11(5k + 1) Reorder the terms: 4(-2 + 2k) = 11(5k + 1) (-2 * 4 + 2k * 4) = 11(5k + 1) (-8 + 8k) = 11(5k + 1) Reorder the terms: -8 + 8k = 11(1 + 5k) -8 + 8k = (1 * 11 + 5k * 11) -8 + 8k = (11 + 55k) Solving -8 + 8k = 11 + 55k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-55k' to each side of the equation. -8 + 8k + -55k = 11 + 55k + -55k Combine like terms: 8k + -55k = -47k -8 + -47k = 11 + 55k + -55k Combine like terms: 55k + -55k = 0 -8 + -47k = 11 + 0 -8 + -47k = 11 Add '8' to each side of the equation. -8 + 8 + -47k = 11 + 8 Combine like terms: -8 + 8 = 0 0 + -47k = 11 + 8 -47k = 11 + 8 Combine like terms: 11 + 8 = 19 -47k = 19 Divide each side by '-47'. k = -0.4042553191 Simplifying k = -0.4042553191
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