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Simplifying 4(k + -3) + -3 = -1 + 5(-3k + 1) Reorder the terms: 4(-3 + k) + -3 = -1 + 5(-3k + 1) (-3 * 4 + k * 4) + -3 = -1 + 5(-3k + 1) (-12 + 4k) + -3 = -1 + 5(-3k + 1) Reorder the terms: -12 + -3 + 4k = -1 + 5(-3k + 1) Combine like terms: -12 + -3 = -15 -15 + 4k = -1 + 5(-3k + 1) Reorder the terms: -15 + 4k = -1 + 5(1 + -3k) -15 + 4k = -1 + (1 * 5 + -3k * 5) -15 + 4k = -1 + (5 + -15k) Combine like terms: -1 + 5 = 4 -15 + 4k = 4 + -15k Solving -15 + 4k = 4 + -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. -15 + 4k + 15k = 4 + -15k + 15k Combine like terms: 4k + 15k = 19k -15 + 19k = 4 + -15k + 15k Combine like terms: -15k + 15k = 0 -15 + 19k = 4 + 0 -15 + 19k = 4 Add '15' to each side of the equation. -15 + 15 + 19k = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 19k = 4 + 15 19k = 4 + 15 Combine like terms: 4 + 15 = 19 19k = 19 Divide each side by '19'. k = 1 Simplifying k = 1
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