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Simplifying 4(k + -3) = 5(2k + 3) Reorder the terms: 4(-3 + k) = 5(2k + 3) (-3 * 4 + k * 4) = 5(2k + 3) (-12 + 4k) = 5(2k + 3) Reorder the terms: -12 + 4k = 5(3 + 2k) -12 + 4k = (3 * 5 + 2k * 5) -12 + 4k = (15 + 10k) Solving -12 + 4k = 15 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -12 + 4k + -10k = 15 + 10k + -10k Combine like terms: 4k + -10k = -6k -12 + -6k = 15 + 10k + -10k Combine like terms: 10k + -10k = 0 -12 + -6k = 15 + 0 -12 + -6k = 15 Add '12' to each side of the equation. -12 + 12 + -6k = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -6k = 15 + 12 -6k = 15 + 12 Combine like terms: 15 + 12 = 27 -6k = 27 Divide each side by '-6'. k = -4.5 Simplifying k = -4.5
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