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Simplifying -7k + 3(12k + -16) = -7(-16k + -5) Reorder the terms: -7k + 3(-16 + 12k) = -7(-16k + -5) -7k + (-16 * 3 + 12k * 3) = -7(-16k + -5) -7k + (-48 + 36k) = -7(-16k + -5) Reorder the terms: -48 + -7k + 36k = -7(-16k + -5) Combine like terms: -7k + 36k = 29k -48 + 29k = -7(-16k + -5) Reorder the terms: -48 + 29k = -7(-5 + -16k) -48 + 29k = (-5 * -7 + -16k * -7) -48 + 29k = (35 + 112k) Solving -48 + 29k = 35 + 112k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-112k' to each side of the equation. -48 + 29k + -112k = 35 + 112k + -112k Combine like terms: 29k + -112k = -83k -48 + -83k = 35 + 112k + -112k Combine like terms: 112k + -112k = 0 -48 + -83k = 35 + 0 -48 + -83k = 35 Add '48' to each side of the equation. -48 + 48 + -83k = 35 + 48 Combine like terms: -48 + 48 = 0 0 + -83k = 35 + 48 -83k = 35 + 48 Combine like terms: 35 + 48 = 83 -83k = 83 Divide each side by '-83'. k = -1 Simplifying k = -1
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