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Simplifying -18 + -6k = 6(1 + 3k) * 5 Reorder the terms for easier multiplication: -18 + -6k = 6 * 5(1 + 3k) Multiply 6 * 5 -18 + -6k = 30(1 + 3k) -18 + -6k = (1 * 30 + 3k * 30) -18 + -6k = (30 + 90k) Solving -18 + -6k = 30 + 90k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-90k' to each side of the equation. -18 + -6k + -90k = 30 + 90k + -90k Combine like terms: -6k + -90k = -96k -18 + -96k = 30 + 90k + -90k Combine like terms: 90k + -90k = 0 -18 + -96k = 30 + 0 -18 + -96k = 30 Add '18' to each side of the equation. -18 + 18 + -96k = 30 + 18 Combine like terms: -18 + 18 = 0 0 + -96k = 30 + 18 -96k = 30 + 18 Combine like terms: 30 + 18 = 48 -96k = 48 Divide each side by '-96'. k = -0.5 Simplifying k = -0.5
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