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Simplifying -3(5t + 5) + 6t = 7t + -4 Reorder the terms: -3(5 + 5t) + 6t = 7t + -4 (5 * -3 + 5t * -3) + 6t = 7t + -4 (-15 + -15t) + 6t = 7t + -4 Combine like terms: -15t + 6t = -9t -15 + -9t = 7t + -4 Reorder the terms: -15 + -9t = -4 + 7t Solving -15 + -9t = -4 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -15 + -9t + -7t = -4 + 7t + -7t Combine like terms: -9t + -7t = -16t -15 + -16t = -4 + 7t + -7t Combine like terms: 7t + -7t = 0 -15 + -16t = -4 + 0 -15 + -16t = -4 Add '15' to each side of the equation. -15 + 15 + -16t = -4 + 15 Combine like terms: -15 + 15 = 0 0 + -16t = -4 + 15 -16t = -4 + 15 Combine like terms: -4 + 15 = 11 -16t = 11 Divide each side by '-16'. t = -0.6875 Simplifying t = -0.6875
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