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Simplifying 4(4t + -3) = 6(t + -1) Reorder the terms: 4(-3 + 4t) = 6(t + -1) (-3 * 4 + 4t * 4) = 6(t + -1) (-12 + 16t) = 6(t + -1) Reorder the terms: -12 + 16t = 6(-1 + t) -12 + 16t = (-1 * 6 + t * 6) -12 + 16t = (-6 + 6t) Solving -12 + 16t = -6 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -12 + 16t + -6t = -6 + 6t + -6t Combine like terms: 16t + -6t = 10t -12 + 10t = -6 + 6t + -6t Combine like terms: 6t + -6t = 0 -12 + 10t = -6 + 0 -12 + 10t = -6 Add '12' to each side of the equation. -12 + 12 + 10t = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 10t = -6 + 12 10t = -6 + 12 Combine like terms: -6 + 12 = 6 10t = 6 Divide each side by '10'. t = 0.6 Simplifying t = 0.6
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