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Simplifying 21h(4) + -13 = 83(h + -10) Reorder the terms for easier multiplication: 21 * 4h + -13 = 83(h + -10) Multiply 21 * 4 84h + -13 = 83(h + -10) Reorder the terms: -13 + 84h = 83(h + -10) Reorder the terms: -13 + 84h = 83(-10 + h) -13 + 84h = (-10 * 83 + h * 83) -13 + 84h = (-830 + 83h) Solving -13 + 84h = -830 + 83h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-83h' to each side of the equation. -13 + 84h + -83h = -830 + 83h + -83h Combine like terms: 84h + -83h = 1h -13 + 1h = -830 + 83h + -83h Combine like terms: 83h + -83h = 0 -13 + 1h = -830 + 0 -13 + 1h = -830 Add '13' to each side of the equation. -13 + 13 + 1h = -830 + 13 Combine like terms: -13 + 13 = 0 0 + 1h = -830 + 13 1h = -830 + 13 Combine like terms: -830 + 13 = -817 1h = -817 Divide each side by '1'. h = -817 Simplifying h = -817
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