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Simplifying 3x(h + 1) + 2 = 20 Reorder the terms: 3x(1 + h) + 2 = 20 (1 * 3x + h * 3x) + 2 = 20 Reorder the terms: (3hx + 3x) + 2 = 20 (3hx + 3x) + 2 = 20 Reorder the terms: 2 + 3hx + 3x = 20 Solving 2 + 3hx + 3x = 20 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3hx + -2 + 3x = 20 + -2 Reorder the terms: 2 + -2 + 3hx + 3x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 3hx + 3x = 20 + -2 3hx + 3x = 20 + -2 Combine like terms: 20 + -2 = 18 3hx + 3x = 18 Add '-3x' to each side of the equation. 3hx + 3x + -3x = 18 + -3x Combine like terms: 3x + -3x = 0 3hx + 0 = 18 + -3x 3hx = 18 + -3x Divide each side by '3x'. h = 6x-1 + -1 Simplifying h = 6x-1 + -1 Reorder the terms: h = -1 + 6x-1
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