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Simplifying 12(k + -3) + (k + 5) = 48 Reorder the terms: 12(-3 + k) + (k + 5) = 48 (-3 * 12 + k * 12) + (k + 5) = 48 (-36 + 12k) + (k + 5) = 48 Reorder the terms: -36 + 12k + (5 + k) = 48 Remove parenthesis around (5 + k) -36 + 12k + 5 + k = 48 Reorder the terms: -36 + 5 + 12k + k = 48 Combine like terms: -36 + 5 = -31 -31 + 12k + k = 48 Combine like terms: 12k + k = 13k -31 + 13k = 48 Solving -31 + 13k = 48 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 13k = 48 + 31 Combine like terms: -31 + 31 = 0 0 + 13k = 48 + 31 13k = 48 + 31 Combine like terms: 48 + 31 = 79 13k = 79 Divide each side by '13'. k = 6.076923077 Simplifying k = 6.076923077
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