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Simplifying 1(2h) + 1(3h) + -6 = 5(6h) + 2 Remove parenthesis around (2h) 1 * 2h + 1(3h) + -6 = 5(6h) + 2 Multiply 1 * 2 2h + 1(3h) + -6 = 5(6h) + 2 Remove parenthesis around (3h) 2h + 1 * 3h + -6 = 5(6h) + 2 Multiply 1 * 3 2h + 3h + -6 = 5(6h) + 2 Reorder the terms: -6 + 2h + 3h = 5(6h) + 2 Combine like terms: 2h + 3h = 5h -6 + 5h = 5(6h) + 2 Remove parenthesis around (6h) -6 + 5h = 5 * 6h + 2 Multiply 5 * 6 -6 + 5h = 30h + 2 Reorder the terms: -6 + 5h = 2 + 30h Solving -6 + 5h = 2 + 30h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-30h' to each side of the equation. -6 + 5h + -30h = 2 + 30h + -30h Combine like terms: 5h + -30h = -25h -6 + -25h = 2 + 30h + -30h Combine like terms: 30h + -30h = 0 -6 + -25h = 2 + 0 -6 + -25h = 2 Add '6' to each side of the equation. -6 + 6 + -25h = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -25h = 2 + 6 -25h = 2 + 6 Combine like terms: 2 + 6 = 8 -25h = 8 Divide each side by '-25'. h = -0.32 Simplifying h = -0.32
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