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Simplifying -5(4t + 3) + 5(t + -7) = 0 Reorder the terms: -5(3 + 4t) + 5(t + -7) = 0 (3 * -5 + 4t * -5) + 5(t + -7) = 0 (-15 + -20t) + 5(t + -7) = 0 Reorder the terms: -15 + -20t + 5(-7 + t) = 0 -15 + -20t + (-7 * 5 + t * 5) = 0 -15 + -20t + (-35 + 5t) = 0 Reorder the terms: -15 + -35 + -20t + 5t = 0 Combine like terms: -15 + -35 = -50 -50 + -20t + 5t = 0 Combine like terms: -20t + 5t = -15t -50 + -15t = 0 Solving -50 + -15t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -15t = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -15t = 0 + 50 -15t = 0 + 50 Combine like terms: 0 + 50 = 50 -15t = 50 Divide each side by '-15'. t = -3.333333333 Simplifying t = -3.333333333
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