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Simplifying -4(2k + 3) + 1 = -3(1 + -2k) + -6k Reorder the terms: -4(3 + 2k) + 1 = -3(1 + -2k) + -6k (3 * -4 + 2k * -4) + 1 = -3(1 + -2k) + -6k (-12 + -8k) + 1 = -3(1 + -2k) + -6k Reorder the terms: -12 + 1 + -8k = -3(1 + -2k) + -6k Combine like terms: -12 + 1 = -11 -11 + -8k = -3(1 + -2k) + -6k -11 + -8k = (1 * -3 + -2k * -3) + -6k -11 + -8k = (-3 + 6k) + -6k Combine like terms: 6k + -6k = 0 -11 + -8k = -3 + 0 -11 + -8k = -3 Solving -11 + -8k = -3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -8k = -3 + 11 Combine like terms: -11 + 11 = 0 0 + -8k = -3 + 11 -8k = -3 + 11 Combine like terms: -3 + 11 = 8 -8k = 8 Divide each side by '-8'. k = -1 Simplifying k = -1
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