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Simplifying 5(6t + -3) + -6(6 + -1t) + 99 = 0 Reorder the terms: 5(-3 + 6t) + -6(6 + -1t) + 99 = 0 (-3 * 5 + 6t * 5) + -6(6 + -1t) + 99 = 0 (-15 + 30t) + -6(6 + -1t) + 99 = 0 -15 + 30t + (6 * -6 + -1t * -6) + 99 = 0 -15 + 30t + (-36 + 6t) + 99 = 0 Reorder the terms: -15 + -36 + 99 + 30t + 6t = 0 Combine like terms: -15 + -36 = -51 -51 + 99 + 30t + 6t = 0 Combine like terms: -51 + 99 = 48 48 + 30t + 6t = 0 Combine like terms: 30t + 6t = 36t 48 + 36t = 0 Solving 48 + 36t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 36t = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 36t = 0 + -48 36t = 0 + -48 Combine like terms: 0 + -48 = -48 36t = -48 Divide each side by '36'. t = -1.333333333 Simplifying t = -1.333333333
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