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Simplifying 3(4t + -5y) + -6(2 + 7h) = 0 (4t * 3 + -5y * 3) + -6(2 + 7h) = 0 (12t + -15y) + -6(2 + 7h) = 0 12t + -15y + (2 * -6 + 7h * -6) = 0 12t + -15y + (-12 + -42h) = 0 Reorder the terms: -12 + -42h + 12t + -15y = 0 Solving -12 + -42h + 12t + -15y = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -42h + 12t + 12 + -15y = 0 + 12 Reorder the terms: -12 + 12 + -42h + 12t + -15y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -42h + 12t + -15y = 0 + 12 -42h + 12t + -15y = 0 + 12 Combine like terms: 0 + 12 = 12 -42h + 12t + -15y = 12 Add '-12t' to each side of the equation. -42h + 12t + -12t + -15y = 12 + -12t Combine like terms: 12t + -12t = 0 -42h + 0 + -15y = 12 + -12t -42h + -15y = 12 + -12t Add '15y' to each side of the equation. -42h + -15y + 15y = 12 + -12t + 15y Combine like terms: -15y + 15y = 0 -42h + 0 = 12 + -12t + 15y -42h = 12 + -12t + 15y Divide each side by '-42'. h = -0.2857142857 + 0.2857142857t + -0.3571428571y Simplifying h = -0.2857142857 + 0.2857142857t + -0.3571428571y
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