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Simplifying 6(-3k + -19) + -15k = -7 + -12 + -9k Reorder the terms: 6(-19 + -3k) + -15k = -7 + -12 + -9k (-19 * 6 + -3k * 6) + -15k = -7 + -12 + -9k (-114 + -18k) + -15k = -7 + -12 + -9k Combine like terms: -18k + -15k = -33k -114 + -33k = -7 + -12 + -9k Combine like terms: -7 + -12 = -19 -114 + -33k = -19 + -9k Solving -114 + -33k = -19 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -114 + -33k + 9k = -19 + -9k + 9k Combine like terms: -33k + 9k = -24k -114 + -24k = -19 + -9k + 9k Combine like terms: -9k + 9k = 0 -114 + -24k = -19 + 0 -114 + -24k = -19 Add '114' to each side of the equation. -114 + 114 + -24k = -19 + 114 Combine like terms: -114 + 114 = 0 0 + -24k = -19 + 114 -24k = -19 + 114 Combine like terms: -19 + 114 = 95 -24k = 95 Divide each side by '-24'. k = -3.958333333 Simplifying k = -3.958333333
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