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Simplifying 42 = 3(2t + -3h) Reorder the terms: 42 = 3(-3h + 2t) 42 = (-3h * 3 + 2t * 3) 42 = (-9h + 6t) Solving 42 = -9h + 6t Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '9h' to each side of the equation. 42 + 9h = -9h + 9h + 6t Combine like terms: -9h + 9h = 0 42 + 9h = 0 + 6t 42 + 9h = 6t Add '-42' to each side of the equation. 42 + -42 + 9h = -42 + 6t Combine like terms: 42 + -42 = 0 0 + 9h = -42 + 6t 9h = -42 + 6t Divide each side by '9'. h = -4.666666667 + 0.6666666667t Simplifying h = -4.666666667 + 0.6666666667t
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